LCM of 526, 583, 169, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 526, 583, 169, 676 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 526, 583, 169, 676. So, keep reading to learn more.
Given numbers are 526,583,169,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 526,583,169,676 is 103650404.
Find LCM of 526,583,169,676 with Prime Factorization
| 2 | 526, 583, 169, 676 |
| 13 | 263, 583, 169, 338 |
| 13 | 263, 583, 13, 26 |
| 263, 583, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 263 x 583 x 1 x 2 = 103650404
Therefore, the lowest common multiple of 526,583,169,676 is 103650404.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
526 x 583 x 169 x 676 = 35033836552
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
526 : 1, 2, 263, 526
583 : 1, 11, 53, 583
169 : 1, 13, 169
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,583,169,676, is 1.
Now, the common factors can be found like this.
526:2x 263
583:11x 53
169:13x 13
676:2x 2x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 35033836552/(1x338)
LCM = 35033836552/338
LCM = 103650404
Thus, we can understand that the LCM of 526,583,169,676 is 103650404.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 526, 583, 169, 676
1. What is the LCM of 526, 583, 169, 676?
Answer: LCM of 526, 583, 169, 676 is 103650404.
2. How to calculate the LCM of 526, 583, 169, 676?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 526, 583, 169, 676.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.